Is it possible to render a single game engine frame in cycles?
I found the solution to my problem.  I end up running the 'render game engine' while having the 'record animation' checkbox checked under the Game dropdown.  Of course, you need to change to the 'Blender Game' rendering before this otherwise it won't appear.  Then starting the 'Game Engine' by clicking 'Start Game Engine', as it is recording, all of the keyframes are created  Once I find the frame I want that represents a good image of what I wish to render.  I move to that frame and turn it over to cycles render.  Here I can play with the materials, lighting, etc in order to get just the right image to be rendered.